Two-Dimensional Wess-Zumino Models at Intermediate Couplings

Abstract

We consider the two-dimensional N=(2,2) Wess-Zumino model with a cubic superpotential at weak and intermediate couplings. Refined algorithms allow for the extraction of reliable masses in a region where perturbation theory no longer applies. We scrutinize the Nicolai improvement program which is supposed to guarantee lattice supersymmetry and compare the results for ordinary and non-standard Wilson fermions with those for SLAC derivatives. It turns out that this improvement completely fails to enhance simulations for Wilson fermions and only leads to better results for SLAC fermions. Furthermore, even without improvement terms the models with all three fermion species reproduce the correct values for the fermion masses in the continuum limit.

15 pages, 18 figures

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• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
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• Supersymmetric nonperturbative formulation of the WZ model in lower dimensions
• Inhomogeneities in the $2$-Flavor Chiral Gross-Neveu Model
• A Method for Measuring the Witten Index Using Lattice Simulation
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Supersymmetric Nonlinear O(3) Sigma Model on the Lattice
• Direct computational approach to lattice supersymmetric quantum mechanics
• The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach
• Supersymmetry restoration in lattice formulations of 2D $\mathcal{N}=(2,2)$ WZ model based on the Nicolai map
• Species Doublers as Super Multiplets in Lattice Supersymmetry: Chiral Conditions of Wess-Zumino Model for D=N=2
• Symmetries of Thirring models on 3d lattices
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• Mass spectrum of $2$-dimensional $\mathcal{N}=(2,2)$ super Yang-Mills theory on the lattice
• Majorana fermions and CP-invariance of chiral gauge theories on the lattice
• Lattice study of supersymmetry breaking in N=2 supersymmetric quantum mechanics
• Numerical study of the $\mathcal{N}=2$ Landau--Ginzburg model
• $\mathcal{N}=1$ Super-Yang-Mills theory on the lattice with twisted mass fermions
• Chiral Heisenberg Gross-Neveu-Yukawa criticality: Honeycomb vs. SLAC fermions
• On the definition of the covariant lattice Dirac operator
• Generalisations of the Ginsparg-Wilson relation and a remnant of supersymmetry on the lattice